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Generalized Lie Theory in Mathematics, Physics and Beyond

The goal of this book is to extend the understanding of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics. This volume is devoted to the interplay between several rapidly expanding research fields in contempora...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Silvestrov, Sergei. (Editor), Paal, Eugen. (Editor), Abramov, Viktor. (Editor), Stolin, Alexander. (Editor)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Subjects:
Mathematics.
Topological Groups.
Mathematical physics.
Topological Groups, Lie Groups.
Mathematical and Computational Physics.
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-85332-9
Table of Contents:
  • 1. Moufang transformations and Noether currents
  • 2. Weakly Nonassociative Algebras, Riccati and KP Hierarchies
  • 3. Applications of Transvectants
  • 4. Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanics
  • 5. A Rewriting Approach to Graph Invariants
  • 6. Graded q-Differential Algebra Approach to q-Connection
  • 7. On generalized N-complexes coming from twisted derivations
  • 8. Remarks on Quantizations, Words and R-matrices
  • 9. Connections on Modules over Singularities of Finite and Tame CM Representation Type
  • 10. Computing noncommutative global deformations of D-modules
  • 11. Comparing Small Orthogonal Classes
  • 12. How to Compose Lagrangian?- 13. Semidirect Products of Generalized Quaternion Groups by a Cyclic Group
  • 14. A Characterization of a Class of 2-Groups by Their Endomorphism Semigroups
  • 15. Adjoint Representations and Movements
  • 16. Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus
  • 17. Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
  • 18. Bosonisation and Parastatistics
  • 19. Deformations of the Witt, Virasoro, and Current Algebra
  • 20. Conformal Algebras in The Context of Linear Algebraic Groups
  • 21. Lie color and hom-Lie algebras of Witt type and their central extensions
  • 22. A Note On Quasi-Lie and Hom-Lie Structures of . .
  • 23. Algebraic Dependence of Commuting Elements in Algebras
  • 24. Crossed Product-Like and Pre-Crystalline Graded Rings
  • 25. Decomposition of The Enveloping Algebra so(5).

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